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Vectors · Question 2 of 125

Question 2

EasyOriginal question

What is the unit vector in the direction of i^+j^−k^\hat{i} + \hat{j} - \hat{k}?

Options for question 2

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Divide the vector by its magnitude, 1+1+1=3\sqrt{1 + 1 + 1} = \sqrt{3}.

  2. a^=13(i^+j^−k^)\hat{a} = \frac{1}{\sqrt{3}}(\hat{i} + \hat{j} - \hat{k}).

Worth noting

13\frac{1}{3} divides by the sum of the squares, not by its square root.

Concept
A unit vector along a given vector
Typical time
60 s
Your time
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The rule this testsVectors and their types
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Ten questions from Vectors, at your own pace.

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Ten questions from Vectors, at your own pace.